US9581681B2 - Method and apparatus for processing coded aperture radar (CAR) signals - Google Patents
Method and apparatus for processing coded aperture radar (CAR) signals Download PDFInfo
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- US9581681B2 US9581681B2 US14/561,111 US201414561111A US9581681B2 US 9581681 B2 US9581681 B2 US 9581681B2 US 201414561111 A US201414561111 A US 201414561111A US 9581681 B2 US9581681 B2 US 9581681B2
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/28—Details of pulse systems
- G01S7/2813—Means providing a modification of the radiation pattern for cancelling noise, clutter or interfering signals, e.g. side lobe suppression, side lobe blanking, null-steering arrays
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
- G01S13/06—Systems determining position data of a target
- G01S13/08—Systems for measuring distance only
- G01S13/32—Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated
- G01S13/34—Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated using transmission of continuous, frequency-modulated waves while heterodyning the received signal, or a signal derived therefrom, with a locally-generated signal related to the contemporaneously transmitted signal
- G01S13/343—Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated using transmission of continuous, frequency-modulated waves while heterodyning the received signal, or a signal derived therefrom, with a locally-generated signal related to the contemporaneously transmitted signal using sawtooth modulation
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
- G01S13/06—Systems determining position data of a target
- G01S13/42—Simultaneous measurement of distance and other co-ordinates
- G01S13/44—Monopulse radar, i.e. simultaneous lobing
- G01S13/4418—Monopulse radar, i.e. simultaneous lobing with means for eliminating radar-dependent errors in angle measurements, e.g. multipath effects
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
- G01S13/06—Systems determining position data of a target
- G01S13/42—Simultaneous measurement of distance and other co-ordinates
- G01S13/44—Monopulse radar, i.e. simultaneous lobing
- G01S13/4463—Monopulse radar, i.e. simultaneous lobing using phased arrays
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
- G01S13/50—Systems of measurement based on relative movement of target
- G01S13/52—Discriminating between fixed and moving objects or between objects moving at different speeds
- G01S13/536—Discriminating between fixed and moving objects or between objects moving at different speeds using transmission of continuous unmodulated waves, amplitude-, frequency-, or phase-modulated waves
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/882—Radar or analogous systems specially adapted for specific applications for altimeters
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/93—Radar or analogous systems specially adapted for specific applications for anti-collision purposes
- G01S13/931—Radar or analogous systems specially adapted for specific applications for anti-collision purposes of land vehicles
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/93—Radar or analogous systems specially adapted for specific applications for anti-collision purposes
- G01S13/933—Radar or analogous systems specially adapted for specific applications for anti-collision purposes of aircraft or spacecraft
- G01S13/935—Radar or analogous systems specially adapted for specific applications for anti-collision purposes of aircraft or spacecraft for terrain-avoidance
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- G01S13/94—
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- G01S2007/356—
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/35—Details of non-pulse systems
- G01S7/352—Receivers
- G01S7/356—Receivers involving particularities of FFT processing
Definitions
- This invention relates a method and apparatus for processing a Coded Aperture Radar (CAR) mixer output signal to estimate the range, velocity, and bearing angles of scattering objects in a short period of time and with relatively simple digital circuits.
- the CAR signal may be processed efficiently by multiplying the signal samples by “signal masks,” each of which corresponding to a particular beam direction and stored in memory, and then processing the resulting data using traditional methods (e.g., FFTs) to produce the range/velocity information for each beam position.
- traditional methods e.g., FFTs
- CAR is a new technology that has not yet been implemented in IC form, therefore is no known prior art for processing methods and hardware for CAR signals.
- CAR signal processing The most straightforward method for CAR signal processing is to utilize a matched filter technique, which is common in radar signal processing.
- This technique consists of correlating the received signal against a library of reference signals, each of which corresponding to a scattering object at a particular range, velocity, and bearing angles. When the received signal contains a component due to a scattering object at the reference location, a strong output is produced, with the strength indicating the scattering cross section at the reference location.
- This technique is effective, but requires an often prohibitive amount of memory to store the reference signals, and significant computation to perform the correlations in a CPU (for example).
- this invention reduces the computation time and/or the digital hardware complexity significantly, with an even bigger advantage for large arrays.
- Digital beamforming arrays possess a separate receiver and analog to digital converter (ADC) behind each of the array elements.
- ADC analog to digital converter
- the large number of output signals are then digitized and the directional beams with desired characteristics are produced by forming linear combinations of the element signals.
- This technique requires that digital information from all of the elements across the array be weighted and combined, with a separate linear combination for each beam position. This is highly computationally intensive and introduces significant latency for large arrays due to the limited speed with which basic digital calculations (e.g., multiplications) may be made.
- digital beamforming combines signals from all the elements creates highly complex combining networks that quickly become unfeasible as the array gets large and even more particularly so if the array is a two dimensional (2D) array.
- the present invention provides a method of processing radar signals reflected from one or more objects in a field of view of a radar transmitter transmitting the radar signals.
- the method includes receiving and modulating the radar signals reflected from the one or more objects by plurality of binary phase shifters to produce a set of modulated signals, the binary phase shifters being controlled by binary coding data; summing the modulated signals and down converting them, preferably to base band, by a mixer producing in-phase and quadrature output signals which are each sampled and digitized by one or more A/D convertors to produce a set of real and imaginary digital values corresponding to the in-phase and quadrature output signals produced by the mixer during an acquisition of the field of view; distributing real and imaginary digital values corresponding to the in-phase and quadrature output signals produced by the mixer into a number of channels, the number of channels being equal to a number of desired radar beam directions to be processed concurrently and each channel having real and imaginary digital values corresponding to the digitized in-phase and quadrature signals output by the mixer
- FIG. 1 shows a block diagram of CAR, with CAR coding on receive only for simplicity's sake.
- FIG. 2 depicts a repetitive series of equal frequency steps which may be used in the radar transmitter, which repetitive series of equal frequency steps is especially convenient when used with the type I CAR coding technology discussed below.
- FIG. 3 depicts functional block diagram for the digital hardware which may be utilized to practice the type I CAR coding discussed herein.
- FIG. 3 a depicts some of the functional block diagram for the digital hardware of FIG. 3 in more detail.
- FIG. 3 b shows an alternative embodiment of the CAR processing where multiple antenna elements (in a subarray of antenna elements) share a single 1-bit phase shifter.
- FIG. 3 c shows another alternative embodiment of the CAR processing technique described herein where a one to one relationship between antenna elements and 1-bit phase shifters is maintained, but where outputs of the antenna elements are the summed down to more than one port which ports are digitized independently by more than one A/D converter.
- FIG. 4 depicts a repetitive series of equal frequency steps where N codes are utilized at each frequency step, N being preferable equal the number of synthesized beams within the field of view is especially convenient when used with the type II CAR coding technology discussed below.
- FIG. 5 depicts a functional block diagram for the digital hardware which may be utilized to practice the type II CAR coding discussed herein.
- FIG. 6 is a block diagram showing a conventional digital beamforming (DBF) radar.
- DBF digital beamforming
- FIG. 1 shows a block diagram of CAR, with CAR coding on receive only which simplifies the hardware which is utilized.
- a radar signal 9 is transmitted from an antenna element 11 a associated with a radar transmitter 11 .
- the transmitted signal 9 covers a field of view (FOV) and energy is scattered from one or more objects within the FOV, which scattered energy 8 is received by an array of receiving radar antenna elements 12 associated with a radar receiver.
- antenna elements may be shared by both the radar transmitter and the radar receiver (with appropriate switching to isolate the receiver from the relatively high energy signal which is typically transmitted by the transmitter to keep from damaging the receiver by that high energy signal).
- the array of receiving radar antenna elements 12 in practice, is preferably a two dimensional array, but a one dimensional array is more convenient for analysis and simulation and may be used in practice.
- Each of the received signals is phase shifted (modulated) by either zero or 180 degrees by one of a plurality of binary (1-bit) phase shifters 10 each of which preferably located near or immediately adjacent an associated one of the antenna elements 12 .
- the received scattered signals are thusly phase shifted (or not) depending on the state of a control word, a bit of which is applied to each binary phase shifter 10 (thus controlling whether it performs a 180 degree phase shift (or not) on the received scattered signals).
- the phase shifted signals downstream of the phase shifters 18 are then summed at 14 to a single RF output port in the depicted embodiment.
- the control word may be called an aperture code and thus the phase shifted signals downstream of the phase shifters 18 may be referred to as being “aperture coded” herein.
- the RF signal at the RF output port of the summer 14 may be first amplified by an optional low noise amplifier (LNA) and then down-converted (preferably to baseband) by a mixer 16 and digitized by a Analog to Digital Convertor (ADC) 18 .
- LNA low noise amplifier
- ADC Analog to Digital Convertor
- transmitted signals 9 which may be utilized with CAR decoding on receive, but an especially convenient transmitted signal 9 is a signal which comprises a repetitive series of equal frequency steps, as shown in FIG. 2 , with q being the index of a frequency step in a sweep and k being the index of a sweep in an acquisition.
- the frequency of the transmitted signal 9 thus may consist of a series of equal steps that are repeated with one or more codes per step, Q steps per sweep, and K sweeps per acquisition.
- This type of signal is appropriate for relatively short range targets so that the total round trip delay time (of signals 9 and 8 ) is preferably much shorter than the sweep period of the transmitted signal 9 .
- this type of transmitted signal one may implement the aperture coding scheme discussed above in one of two ways.
- Type I CAR coding one may utilize a separate code for each frequency step (a separate code for each frequency sweep may be considered a special case with identical codes repeated throughout a particular sweep).
- Type II CAR coding one transmits a set of N codes during one frequency step, and repeating same for each step and for each sweep.
- the codes for different steps and/or sweeps may be identical or different, although the preferred embodiment is one with repeated codes with the codes being mutually orthogonal.
- the round trip delay to a target and back will be longer than the duration of each frequency step, so the received signals will be spread out in time. This requires more complicated correlation processing. Coding on receive only occurs at the same time for all targets, so much simpler and more efficient FFT processing can be used.
- ⁇ m are the radian frequency steps
- ⁇ t (in the exponent) is the duration of each frequency step
- v (in the exponent) is velocity
- m is the time index
- V is the amplitude that depends on various radar parameters such as transmit power, radar cross section, antenna gain, etc.
- the complex field pattern produced by the n th antenna element is denoted e n ( ⁇ ), where ⁇ is shorthand notation for the spherical coordinate angles ⁇ , ⁇ .
- the complex field pattern produced by the receive elements, phase shifters, and summation network may then be written
- S m,n is a “coding matrix,” defined as the complex transmission coefficient (i.e., S 21 ) from the n th antenna element 10 to the summation network 14 output for the m th code.
- Q the number of frequency steps per radar sweep
- K the number of sweeps per acquisition.
- the parameters Q and K are selected to provide a desired number of range and velocity bins.
- the range and velocity resolutions are given by
- Peaks of the ambiguity function indicate values of range and velocity at which a strong scatter is located, within the beam direction ⁇ ′.
- One typically discretizes the antenna array field of view into discrete beam directions ⁇ ⁇ ′ s using traditional techniques that are well known to those skilled in the art and that depend on details of the array design (aperture size, element size, etc.).
- the primed direction ( ⁇ ′ s ) indicates where the radar looks for scatterers.
- the unprimed direction ( ⁇ ) is the direction of the actual scatterer. See Eqn. 1. When many scatterers are present the contributions from each add because the radar transceiver has a linear response, as is well known to those skilled in the art.
- Another method is to use a pseudo-inverse of the coding matrix to obtain estimates of the element signals, and then weight them with an amplitude taper w n for sidelobe control. For this case the choice is
- reference range r′ and velocity v′ are chosen at discrete points, typically on a grid.
- the discretization of range and velocity produces what are commonly referred to as “range bins” and “velocity bins.”
- Eqn. 8a is mathematically very similar to a 2D Fast Fourier Transform (FFT), and we may utilize a 2D FFT instead of the matched filter function shown in Eqn. 8a with negligible error.
- FFT Fast Fourier Transform
- the coding matrix contains values of either +1 or ⁇ 1 with 50% probability for each. This choice is the preferred embodiment of the coding matrix, although other choices are possible, such as N columns of an M ⁇ M Hadamard matrix avoiding the column of equal values.
- the ambiguity function has the desired characteristics in an average sense.
- Type I coding produces the same results as conventional radar in an average sense, the ambiguity function fluctuates about the mean value, an effect referred to as residual ambiguity (and sometimes referred to as multiplicative noise). This effect adds pseudorandom “noise” to the computed radar estimates of range, velocity, and angles and this may pseudorandom “noise” be mitigated using Type II coding, described below.
- CAR computed tomography
- This Type I CAR processing approach may be conceptually implemented in digital hardware as depicted by the functional block diagram of FIG. 3 or it may be implemented in software. Even if implemented in software, software of course requires hardware and a hardware suite used to implement FIG. 3 may include one or more general purpose CPUs in addition to one or more Application Specific ICs (ASICs) designed to handle the FFT processing with greater ease than if only one or more CPUs were used.
- ASICs Application Specific ICs
- the mixer output signal is digitized by an analog to digital converter (ADC) 18 , the digital signal is split into S parallel channels, with as many channels as beam directions to be processed in parallel. So each of the S parallel channels corresponds to a single synthesized beam position.
- ADC analog to digital converter
- the mixer 16 has both in-phase (I) and quadrature (Q) outputs, so that the mixer signal samples are complex, and the digital multiplications in the signal mask function 20 1 . . .
- FIG. 3 a where the mixer 16 is depicted with separate I and Q outputs and each output is applied to a separate ADC 18 i and 18 q .
- a single ADC 18 is often depicted in the art as being coupled with a mixer with I and Q outputs (as is done in the embodiments of FIG. 3 and FIG. 3 c ) it is understood both the I and Q channels are digitized.
- the M signal samples are separated (at east conceptually) into K rows of Q samples per row and a 2D FFT is preferably applied to that matrix of data at blocks 24 0 . . . 24 S-1 .
- M Q times K and S can be chosen independently, but will typically be equal to the number of antenna elements 10 .
- the elements down each column give the scattering strength at various range values for a particular velocity and the elements across rows give the scattering strength at various velocity values for each range bin.
- the results of the processing are estimates of the object scattering strength at all combinations of ranges, velocities, and beam positions.
- the word “complex” is used here in its mathematical sense, that is, the corresponding values have real and imaginary parts.
- antenna elements 10 and phase shifters 12 there is a one-to-one relationship between antenna elements 10 and phase shifters 12 as is depicted by FIG. 3 .
- the drawback to this approach is the appearance of grating lobes in the element patterns because the subarrays would be spaced greater than ⁇ /2 apart from one another (where ⁇ is the wavelength of the nominal frequency of the radar system). Grating lobes are undesirable because they reduce gain and produce or receive spurious radiation in unwanted directions.
- the advantage of the embodiment of FIG. 3 a is a lower cost.
- FIG. 3 c shows another alternative embodiment of the CAR processing technique described herein where a one to one relationship between antenna elements and 1-bit phase shifters is maintained, but where outputs of the antenna elements are the summed down to more than one port which ports are digitized independently by more than one A/D convertor 18 .
- the advantage of this approach is an improvement in signal to noise ratio due to more than one receive channel, each collecting energy independently. The disadvantage is increased cost.
- FIGS. 3, 3 b and 3 c Only a few antenna elements 10 and phase shifters 12 are depicted in FIGS. 3, 3 b and 3 c , it being understood that the number of antenna elements 10 and phase shifters 12 may be very large in some embodiments.
- N codes are utilized during transmit at each frequency step, as indicated in FIG. 4 , where N is preferably equal to the number of 1-bit phase shifters.
- the N one-bit transmit codes may be selected in the same manner as the one-bit receive codes applied to the one-bit phase shifters 12 (the selection may be pseudo-random, for example), but the resulting two matrices should not be chosen to be the same.
- the transmit-receive code combination is just the product of the separate transmit and receive codes (it is well known to those skilled in the art that radar response is proportional to the product of the transmit modulation and receive modulation), the overall coding matrix is the element by element product of the transmit code matrix and the receive code matrix. One should therefore ensure that the overall coding matrix contains linearly independent columns.
- N codes (on transmit) and the binary control data applied to the 1-bit phase shifters 12 are single bit random codes which may be Hadarmard, pseudo-random, etc. These N codes may be repeated for each of the frequency steps of each of the sweeps during transmit. It is also possible to use different codes for each of the frequency steps, although this is unnecessary. In the following, as the preferred embodiment, we will assume the same set of N codes is used for all frequency steps and sweeps. For a single ideal scatterer at range r, radial velocity v, and angular position ⁇ , the mixer output voltage with N codes at each frequency step has the form
- n is the code index
- ⁇ m are the radian frequency steps
- ⁇ t is now the duration of each code period
- V is the amplitude that depends on various radar parameters such as transmit power, radar cross section, antenna gain, etc. Note that the total length of the signal is NM (N times M) samples.
- This procedure is almost identical to that of the Type I coding, the only difference being that, after multiplying by the signal mask, we sum sets of N successive masked signal samples. This additional summation adds an insignificant amount of additional complexity.
- Eqn . ⁇ 15 the last exponential factor in Eqn. 14 that depends on n may be neglected with little error.
- DBF radar utilizes a separate receiver and an ADC behind each receiving element.
- a central processor unit CPU may be used to processes the data from all of the elements to synthesize beams in the desired directions and (often) utilizes FFTs to provide range/velocity information.
- CPU central processor unit
- the meaning of the indices is different.
- the index n refers to the antenna element and ⁇ t is the period of a frequency step.
- the g n ( ⁇ ) is the complex antenna pattern for the nth antenna element.
- This Type II CAR processing approach may be conceptually implemented in digital hardware as depicted by the functional block diagram of FIG. 5 or it may be implemented in software using one or more general purpose CPUs and possibly also one or more ASICs as is discussed above with reference to FIG. 3 .
- FIG. 5 is rather similar to FIG. 3 , which depicts a conceptual implementation of Type I CAR processing, but in FIG. 5 there is an added set of blocks 22 0 . . . 22 S-1 which do not appear in FIG. 3 , which are needed for Type II CAR processing. Otherwise, the two figures are basically identical and use the same element numbers to refer to common elements between the Type I CAR and Type II CAR implementations.
- the digital signal is split into S parallel channels, with as many channels as beam directions to be processed in parallel, as dome with Type I CAR. So each of the S parallel channels corresponds to a single synthesized beam position.
- ADC analog to digital converter
- each of the S parallel channels corresponds to a single synthesized beam position.
- For each channel we first apply a signal mask function 20 0 . . . 20 S-1 , which multiplies each of the complex signal samples v m by the complex signal mask number s m,s stored in memory (m is the index for the signal sample and s is the index for the beam direction channel).
- the mixer 16 has both in-phase (I) and quadrature (Q) outputs, so that the mixer signal samples are complex, and the digital multiplications in the signal mask function 20 1 . . . 20 S-1 are therefore complex. See FIG. 3 a where the mixer 16 is depicted with separate I and Q outputs and each output is applied to a separate ADC 18 i and 18 q .
- a single ADC 18 is often depicted in the art as being coupled with a mixer with I and Q outputs (as is done in the embodiments of FIGS. 3, 5 and FIG. 3 c ) it is understood both the I and Q channels are digitized.
- the M signal samples are separated (at least conceptually) into K rows of Q samples per row and a 2D FFT is preferably applied to the matrix of data at blocks 24 0 . . . 24 S-1 , as done in Type I CAR, except that N data samples are summed together at blocks 22 0 . . . 22 S-1 , after the signal masks are applied at block 20 0 . . . 20 S-1 , and before applying the results of thus summation to 2D FFT at blocks 24 0 . . . 24 S-1 . See U.S.
- CAR processing requires fewer digital computations than conventional DBF processing (see FIG. 6 ), and the advantage can be highly significant for large arrays.
- CAR we multiply each ADC sample by a complex number, and for Type II coding we then add groups of N masked signals. Since adds are much more time and hardware efficient than multiplies, it is sufficient to neglect the adds and only count multiplies when comparing computational complexities.
- the CAR signal mask requires the same number of multiplies as ADC samples, which is M for Type I coding and MN for Type II coding.
- DBF requires N multiplies (and 1 add) for each ADC sample, repeated for each of the N beams.
- the significant scatterers are typically identified by applying “thresholding” to the data outputted from the 2D FFT processing where any samples crossing a chosen threshold are retained and samples falling below that threshold are omitted. Additional processing may be applied to group significant samples together in order to identify single, large objects that may produce many different, but related, scattering events.
- the radar sensor can provide functions such as, for example, identification of objects on a collision path with the host vehicle.
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Abstract
Description
where Sm,n is a “coding matrix,” defined as the complex transmission coefficient (i.e., S21) from the nth antenna element 10 to the
rmax=½QΔr, vmax=½KΔv (Eqn. 4)
{tilde over (v)} m =v m s m(Ω′). (Eqn. 5)
{tilde over (v)} q,k(Ω′)=v q,k s q,k(Ω′). (Eqn. 5a)
-
- where (SHS)−1SH is the pseudo-inverse of the coding matrix.
where δr=r−r′ and δv=v−v′ are the differences between the object range and velocity and the reference range and velocity, and we have assumed Eqn. 7 for the choice of beam mask.
where εm,n is either +1 or −1 with 50% probability. Note that εm,nεm,n′ =δn,n′ where the brackets denote an ensemble average value. Also, to simplify the mathematics we utilize a single index m=q+kQ. Inserting Eqn. 10 into Eqn. 9 using Eqn. 2 and computing the ensemble average value we have:
used for the matched filter, and the processing speed would be reduced. Although Type I coding produces the same results as conventional radar in an average sense, the ambiguity function fluctuates about the mean value, an effect referred to as residual ambiguity (and sometimes referred to as multiplicative noise). This effect adds pseudorandom “noise” to the computed radar estimates of range, velocity, and angles and this may pseudorandom “noise” be mitigated using Type II coding, described below. The primary advantage of CAR is that it provides similar results to conventional radar, which results are obtained using only a single transceiver, binary (as opposed to multi-bit) phase shifters, and range, velocity, and bearing angle estimates that are made from data collected in a single acquisition.
where n is the code index, ωm are the radian frequency steps, Δt is now the duration of each code period, and V is the amplitude that depends on various radar parameters such as transmit power, radar cross section, antenna gain, etc. Note that the total length of the signal is NM (N times M) samples.
then the last exponential factor in Eqn. 14 that depends on n may be neglected with little error. Using Eqn. 2 and Eqn. 3, then the condition of Eqn. 15 may be expressed as
Q>>π, (Eqn. 16)
a condition that is often satisfied in practice. Assuming this is the case, and using the fact that we have chosen an orthogonal coding matrix so that SHS=I/N, where I is the identity matrix, the M masked signals for each beam position become
which is the same as Eqn. 11, although this result does not contain the pseudo-random variations (i.e., residual ambiguity) of Type I coding. We point out that the digital processing hardware implementation is nearly identical to that of the Type I coding described above and shown in
and then process the resulting weighted signals using FFTs or other conventional range/velocity processing techniques known in the art. Conventional FFT processing is indicated in block diagram form in
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